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Titlebook: Linear Programming; Foundations and Exte Robert J. Vanderbei Book 20083rd edition Springer-Verlag US 2008 Simplex method.algorithms.ants.du

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發(fā)表于 2025-3-21 19:06:47 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Linear Programming
副標題Foundations and Exte
編輯Robert J. Vanderbei
視頻videohttp://file.papertrans.cn/587/586386/586386.mp4
概述Includes material on traditional business applications (resource allocation, blending, network flows) plus applications from other areas (robust statistics, game theory, optimal design of physical str
叢書名稱International Series in Operations Research & Management Science
圖書封面Titlebook: Linear Programming; Foundations and Exte Robert J. Vanderbei Book 20083rd edition Springer-Verlag US 2008 Simplex method.algorithms.ants.du
描述.Linear Programming: Foundations and Extensions is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization...The book is carefully written. Specific examples and concrete algorithms precede more abstract topics. Topics are clearly developed with a large number of numerical examples worked out in detail...Moreover, Linear Programming: Foundations and Extensions underscores the purpose of optimization: to solve practical problems on a computer. Accordingly, the book is coordinated with free efficient C programs that implement the major algorithms studied: The two-phase simplex method; The primal-dual simplex method; The path-following interior-point method; The homogeneous self-dual methods...In addition, there are online JAVA applets that illustrate various pivot rules and variants of the simplex method, both for linear programming and for network flows. These C programs and JAVA tools can be found on the book‘s webpage: http://www.princeton.edu/-rvdb/LPbook/. Also, chec
出版日期Book 20083rd edition
關鍵詞Simplex method; algorithms; ants; duality; game theory; interior-point methods; linear optimization; linear
版次3
doihttps://doi.org/10.1007/978-0-387-74388-2
issn_series 0884-8289
copyrightSpringer-Verlag US 2008
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International Series in Operations Research & Management Sciencehttp://image.papertrans.cn/l/image/586386.jpg
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發(fā)表于 2025-3-22 07:11:06 | 只看該作者
IntroductionThis book is mostly about a subject called Linear Programming. Before defining what we mean, in general, by a linear programming problem, let us describe a few practical real-world problems that serve to motivate and at least vaguely to define this subject.
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發(fā)表于 2025-3-22 09:59:13 | 只看該作者
The Simplex MethodIn this chapter we present the simplex method as it applies to linear programming problems in standard form.
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Efficiency of the Simplex MethodIn the previous chapter, we saw that the simplex method (with appropriate pivoting rules to guarantee no cycling) will solve any linear programming problem for which an optimal solution exists. In this chapter, we investigate just how fast it will solve a problem of a given size.
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發(fā)表于 2025-3-23 01:07:41 | 只看該作者
The Simplex Method in Matrix NotationSo far, we have avoided using matrix notation to present linear programming problems and the simplex method. In this chapter, we shall recast everything into matrix notation. At the same time, we will emphasize the close relations between the primal and the dual problems.
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發(fā)表于 2025-3-23 05:00:51 | 只看該作者
Implementation IssuesIn the previous chapter, we rewrote the simplex method using matrix notation. This is the first step toward our aim of describing the simplex method as one would implement it as a computer program. In this chapter, we shall continue in this direction by addressing some important implementation issues.
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發(fā)表于 2025-3-23 06:12:33 | 只看該作者
Problems in General FormUp until now, we have always considered our problems to be given in standard form. However, for real-world problems it is often convenient to formulate problems in the following form
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